Question


ray EC bisects angle BED, The measure of angle AEB equals 11x minus 12.and The measure of angle CED equals 4x plus 1.. Find measure of angle AEC.

Answers

Steve
Can't tell whether A is in between B and E or not.

But, you know that BEC=BED

That should help you pin down AEC.

If A is between B and C

BEA+AEC=BEC
11x-12 + AEC = 4x+1
AEC = 13-7x

or, if B is between A and C,

AEC-AEB=BEC
AEC-11x+12 = 4x+1
AEC = 15x-13

Of course, A could be a lot of other places, too.
bob
You first have to find x.
To find x, we need to add all the angles together to get 180°.
Since EC bisects BED, we know angle BEC and CED equal the same measure.
AEB + BEC + CED = 180°
(11x - 12) + (4x + 1) + (4x + 1) = 180°
Add like terms and solve
19x - 10 = 180
19x = 190
x = 10

Now, we substitute 'x' in AEB and BEC
AEB = 11x - 12
11 (10) - 12
AEB = 98

BEC = 4x + 1
4 (10) + 1
BEC = 41

98 + 41 = 139

AEC = 139

Hope this helps!
E
Thanks man
nobody v.II
preciate it bob
Stelle reose
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